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Popular >

range of (x-3)^2-2

Solution

range

(x - 3)^{2} - 2

Solution

f (x) \geq - 2

+1

Interval Notation

[- 2, \infty)

Solution steps

Vertex of

(x - 3)^{2} - 2 :

Minimum

(3, - 2)

For a parabola

a x^{2} + b x + c

with Vertex

(x_{v}, y_{v})

If

a < 0

the range is

f (x) \leq y_{v}

If

a > 0

the range is

f (x) \geq y_{v}

a = 1,

Vertex

(x_{v}, y_{v}) = (3, - 2)

f (x) \geq - 2

Popular Examples

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range of log_{10}(2-x)range

lo g_{10} (2 - x)

domain of f(x)=(2x-1)/(sqrt(1-4x^2))domain

f (x) = \frac{2 x - 1}{1 - 4 x ^{2}}

domain of f(x)=sqrt(5x+3)domain

f (x) = 5 x + 3

Frequently Asked Questions (FAQ)

What is the range of (x-3)^2-2 ?
The range of (x-3)^2-2 is f(x)>=-2